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Mamikon Mnatsakanian
Mamikon A. Mnatsakanian (1942-2021) ( hy, Մամիկոն Մնացականյան) was an Armenian physicist. In 1959, he discovered a new proof of the Pythagorean theorem. He received a Ph.D. in physics in 1969 from Yerevan State University, where he became professor of astrophysics. As an undergraduate he specialized in the development of geometric methods for solving calculus problems by a visual approach that makes no use of formulas, which he later developed into his system of visual calculus. He was a Project Associate at Project Mathematics! at the California Institute of Technology. With co-author Tom Apostol, he won the Mathematical Association of America's award in 2005, 2008, and 2010. When Apostol met Mamikon he wrote, "As a teacher of calculus for more than 50 years and as an author of a couple of textbooks on the subject, I was stunned to learn that many standard problems in calculus can be easily solved by an innovative visual approach that makes no use of formulas ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pythagorean Theorem
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the sides ''a'', ''b'' and the hypotenuse ''c'', often called the Pythagorean equation: :a^2 + b^2 = c^2 , The theorem is named for the Greek philosopher Pythagoras, born around 570 BC. The theorem has been proven numerous times by many different methods – possibly the most for any mathematical theorem. The proofs are diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years. When Euclidean space is represented by a Cartesian coordinate system in analytic geometry, Euclidean distance satisfies the Pythagorean relation: the squared dist ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theoretical Astrophysics
Astrophysics is a science that employs the methods and principles of physics and chemistry in the study of astronomical objects and phenomena. As one of the founders of the discipline said, Astrophysics "seeks to ascertain the nature of the heavenly bodies, rather than their positions or motions in space–''what'' they are, rather than ''where'' they are." Among the subjects studied are the Sun, other stars, galaxies, extrasolar planets, the interstellar medium and the cosmic microwave background. Emissions from these objects are examined across all parts of the electromagnetic spectrum, and the properties examined include luminosity, density, temperature, and chemical composition. Because astrophysics is a very broad subject, ''astrophysicists'' apply concepts and methods from many disciplines of physics, including classical mechanics, electromagnetism, statistical mechanics, thermodynamics, quantum mechanics, relativity, nuclear and particle physics, and atomic and molecular ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Armenian Expatriates In The United States
Armenian may refer to: * Something of, from, or related to Armenia, a country in the South Caucasus region of Eurasia * Armenians, the national people of Armenia, or people of Armenian descent ** Armenian Diaspora, Armenian communities across the world * Armenian language, the Indo-European language spoken by the Armenian people ** Armenian alphabet, the alphabetic script used to write Armenian ** Armenian (Unicode block) * Armenian Apostolic Church * Armenian Catholic Church People * Armenyan, or in Western Armenian, an Armenian surname **Haroutune Armenian (born 1942), Lebanon-born Armenian-American academic, physician, doctor of public health (1974), Professor, President of the American University of Armenia **Gohar Armenyan (born 1995), Armenian footballer **Raffi Armenian (born 1942), Armenian-Canadian conductor, pianist, composer, and teacher Others * SS Armenian, SS ''Armenian'', a ship torpedoed in 1915 See also * * Armenia (other) * Lists of Armenians { ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yerevan State University Alumni
Yerevan ( , , hy, Երևան , sometimes spelled Erevan) is the capital and largest city of Armenia and one of the world's oldest continuously inhabited cities. Situated along the Hrazdan River, Yerevan is the administrative, cultural, and industrial center of the country, as its primate city. It has been the capital since 1918, the fourteenth in the history of Armenia and the seventh located in or around the Ararat Plain. The city also serves as the seat of the Araratian Pontifical Diocese, which is the largest diocese of the Armenian Apostolic Church and one of the oldest dioceses in the world. The history of Yerevan dates back to the 8th century BCE, with the founding of the fortress of Erebuni in 782 BCE by King Argishti I of Urartu at the western extreme of the Ararat Plain. Erebuni was "designed as a great administrative and religious centre, a fully royal capital." By the late ancient Armenian Kingdom, new capital cities were established and Yerevan declined in impo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
California Institute Of Technology Faculty
The California Institute of Technology (branded as Caltech or CIT)The university itself only spells its short form as "Caltech"; the institution considers other spellings such a"Cal Tech" and "CalTech" incorrect. The institute is also occasionally referred to as "CIT", most notably in its alma mater, but this is uncommon. is a private research university in Pasadena, California. Caltech is ranked among the best and most selective academic institutions in the world, and with an enrollment of approximately 2400 students (acceptance rate of only 5.7%), it is one of the world's most selective universities. The university is known for its strength in science and engineering, and is among a small group of institutes of technology in the United States which is primarily devoted to the instruction of pure and applied sciences. The institution was founded as a preparatory and vocational school by Amos G. Throop in 1891 and began attracting influential scientists such as George Ellery Ha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Visual Calculus
Visual calculus, invented by Mamikon Mnatsakanian (known as Mamikon), is an approach to solving a variety of integral calculus problems. Many problems that would otherwise seem quite difficult yield to the method with hardly a line of calculation, often reminiscent of what Martin Gardner called "aha! solutions" or Roger Nelsen a proof without words. Description Mamikon devised his method in 1959 while an undergraduate, first applying it to a well-known geometry problem: find the area of a ring (annulus), given the length of a chord tangent to the inner circumference. Perhaps surprisingly, no additional information is needed; the solution does not depend on the ring's inner and outer dimensions. The traditional approach involves algebra and application of the Pythagorean theorem. Mamikon's method, however, envisions an alternate construction of the ring: first the inner circle alone is drawn, then a constant-length tangent is made to travel along its circumference, "sweeping ou ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Generalized Conic
In mathematics, a generalized conic is a geometrical object defined by a property which is a generalization of sums defining property of the classical conic. For example, in elementary geometry, an ellipse can be defined as the locus of a point which moves in a plane such that the sum of its distances from two fixed points – the foci – in the plane is a constant. The curve obtained when the set of two fixed points is replaced by an arbitrary, but fixed, finite set of points in the plane is called an ''n''–ellipse and can be thought of as a generalized ellipse. Since an ellipse is the equidistant set of two circles, the equidistant set of two arbitrary sets of points in a plane can be viewed as a generalized conic. In rectangular Cartesian coordinates, the equation ''y'' = ''x''2 represents a parabola. The generalized equation ''y'' = ''x'' ''r'', for ''r'' ≠ 0 and ''r'' ≠ 1, can be treated as defining a generalized parabola. The idea of generalized conic has found applicat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
President Of Armenia
The president of Armenia ( hy, Հայաստանի Նախագահ, Hayastani Nakhagah) is the head of state and the guarantor of independence and territorial integrity of Armenia elected to a single seven-year term by the National Assembly of Armenia. Under Armenia's parliamentary system, the president is simply a figurehead and holds ceremonial duties, with most of the political power vested in the Parliament and prime minister. Vahagn Khachaturyan has been serving as president since 13 March 2022. __TOC__ Background The president of the republic strives to uphold the constitution, and to ensure the regular functioning of the executive and judicial powers. They are the guarantor of the independence, territorial integrity and security of the republic. The president of the republic is immune: they cannot be prosecuted or held liable for actions arising from their status during and after their term of office. For the actions not connected with their status the president of the Re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wolfram Demonstrations Project
The Wolfram Demonstrations Project is an organized, open-source collection of small (or medium-size) interactive programs called Demonstrations, which are meant to visually and interactively represent ideas from a range of fields. It is hosted by Wolfram Research, whose stated goal is to bring computational exploration to a large population. At its launch, it contained 1300 demonstrations but has grown to over 10,000. The site won a Parents' Choice Award in 2008. Technology The Demonstrations run in '' Mathematica'' 6 or above and in '' Wolfram CDF Player'' which is a free modified version of Wolfram's ''Mathematica'' and available for Windows, Linux and macOS and can operate as a web browser plugin. They typically consist of a very direct user interface to a graphic or visualization, which dynamically recomputes in response to user actions such as moving a slider, clicking a button, or dragging a piece of graphics. Each Demonstration also has a brief description of the c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Viktor Hambardzumyan
Viktor Amazaspovich Ambartsumian (russian: Виктор Амазаспович Амбарцумян; hy, Վիկտոր Համազասպի Համբարձումյան, ''Viktor Hamazaspi Hambardzumyan''; 12 August 1996) was a Soviet Armenians, Armenian astrophysicist and science administrator. One of the 20th century's top astronomers, he is widely regarded as the founder of theoretical astrophysics in the Soviet Union. Educated at Leningrad State University (LSU) and the Pulkovo Observatory, Ambartsumian taught at LSU and founded the Soviet Union's first department of astrophysics there in 1934. He subsequently moved to Soviet Armenia, where he founded the Byurakan Observatory in 1946. It became his institutional base for the decades to come and a major center of astronomical research. He also co-founded the Armenian Academy of Sciences and led it for almost half a century—the entire post-war period. One commentator noted that "science in Armenia was synonymous with the name Amb ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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